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which pairs of figures are congruent? which pairs are similar? congruen…

Question

which pairs of figures are congruent? which pairs are similar?

congruent? ○ yes ○ no \t\t\t\tcongruent? ○ yes ○ no
similar? ○ yes ○ no \t\t\t\t\tsimilar? ○ yes ○ no

congruent? ○ yes ○ no \t\t\t\tcongruent? ○ yes ○ no
similar? ○ yes ○ no \t\t\t\t\tsimilar? ○ yes ○ no

Explanation:

Step1: Analyze first figure pair

Two circles have identical shape and size.
Congruent: Yes; Similar: Yes

Step2: Analyze second figure pair

Two right triangles have identical shape and size.
Congruent: Yes; Similar: Yes

Step3: Analyze third figure pair

Two shapes have identical shape and size.
Congruent: Yes; Similar: Yes

Step4: Analyze fourth figure pair

Rectangle and square have different shape (angles match but side ratios differ: square has 1:1 ratio, rectangle has non-1 ratio). They are not same size.
Congruent: No; Similar: No

Answer:

  1. Top-left pair:

Congruent? Yes
Similar? Yes

  1. Top-right pair:

Congruent? Yes
Similar? Yes

  1. Bottom-left pair:

Congruent? Yes
Similar? Yes

  1. Bottom-right pair:

Congruent? No
Similar? No